60 citations · 208 across the 27 of their papers we have counts for
4 papers · 2 filters
Compression functions of uniform embeddings of groups into Hilbert and Banach spaces
Goulnara Arzhantseva, Cornelia Druţu, Mark Sapir
We construct finitely generated groups with arbitrary prescribed Hilbert space compression αfrom the interval [0,1]. For a large class of Banach spaces E (including all uniformly c…
Construction of elements in the closure of Grigorchuk group
Goulnara Arzhantseva, Zoran Sunic
We describe constraints that need to be satisfied ``near the top'' of the portraits of the elements in Grigorchuk group. These constraints, if satisfied by the portraits of all sec…
Relatively Hyperbolic Groups are -simple
G. Arzhantseva, A. Minasyan
We characterize relatively hyperbolic groups whose reduced -algebra is simple as those, which have no non-trivial finite normal subgroups.
The SQ-universality and residual properties of relatively hyperbolic groups
G. Arzhantseva, A. Minasyan, D. Osin
We study residual properties of relatively hyperbolic groups. In particular, we show that if a group is non-elementary and hyperbolic relative to a collection of proper subgrou…